Key words, gaussian elimination and row echelon form.

关键词 高斯消去和行阶梯形。

The Gaussian distribution or the normal distribution, they're two words for the same thing.

高斯分布或正态分布，它们是同一事两个词。

Now that  we have that figured out, Bobby, what shape shall we choose for our imaginary Gaussian surface?

现在我们已经明白了， Bobby，我们应该为我们假想高斯曲面选择什么形状呢？

Statistical speech models and a probabilistic technique called Gaussian mixture modelling are then used to identify each phoneme, before reconstructing the original word.

后由语音统计模型和一种称为高斯混合模型概率工具来识别每个语素，再将其组合为原来单词。

And that  all still equals the charge inside the Gaussian surface divided by the permittivity of free space.

而这一切仍等于高斯表面内除以自由空间介常数。

And … Everybody brought the area of one end  of the Gaussian cylinder to the party!

和。。。每个人都把高斯圆柱体一端面积带到了派对上！

The team says Jiuzhang's quantum computing system can implement large-scale " Gaussian boson sampling" 100 trillion times faster than the world's fastest existing supercomputer.

研究团队表示，“九章”量子计算系统可以实现大规模“高斯玻色采样”，比目前世界上最快超级计算机快100万亿倍。

That means the charge inside the Gaussian cylinder equals the surface charge density times the  area of one end.

这意味着高斯圆柱内等于表面密度乘以一端面积。

So, our charges  are represented by this piece of paper, and our Gaussian surface is represented by this  can of soup.

所以，我们由这张纸表示，我们高斯表面由这罐汤表示。

Realize  that means we could have chosen a rectangular box as our imaginary, closed Gaussian surface.

意识到这意味着我们可以选择一个矩形盒子作为我们想象闭合高斯曲面。

His name also graces the Gaussian distribution, also known as the normal distribution or bell curve, a fundamental tool in the natural and social sciences.

他名字也为高斯分布增光添彩，高斯分布也称为正态分布或钟形曲线，是自科学和社会科学基本工具。

The electric field is always horizontal, so the shape of the Gaussian surface needs to  have sides which are vertical or horizontal.

场总是水平，所以高斯表面形状需要有垂直或水平边。

Their study used a classical simulation algorithm called Gaussian boson sampling to provide a highly efficient way of demonstrating such speedup in solving some well-defined tasks.

他们研究使用了一种名为高斯玻色子采样经典模拟算法，在解决一些特定任务时提供了一种高效方式来证明这种加速。

Also from a purely artistic standpoint, the ultimate result here is just really pretty to think about, way more so than gaussian elimination, right?

同样从纯粹艺术角度来看 最终结果是非常值得思考 比高斯消去法好得多 对吧？

And the electric field would not have been constant at the Gaussian  surface because it was a cube.

由于高斯表面是一个立方体，因此场在高斯表面不会是恒定。

And, realize, while the Gaussian  surfaces we usually work with are imaginary, the Gaussian surface could  actually be a real, physical surface.

并且，要意识到，虽我们通常使用高斯曲面是假想，但高斯曲面实际上可能是一个真实理曲面。

Okay, just like we did with Gaussian surfaces, we need to look at the different sides of the Amperian rectangle.

好， 就像我们对高斯曲面所做那样，我们需要查看安培矩形不同边。

Everyone should know about is because it touches on every single aspect of our lives and that's the normal distribution or the Gaussian distribution or the bell curve.

每个人都应该知道是因为它涉及到我们生活方方面面，那就是正态分布或高斯分布或钟形曲线。

Well, for the shape of the imaginary Gaussian surface, we are trying to make sure the electric  field is either parallel or perpendicular to all the surfaces of the Gaussian surface.

好吧， 对于假想高斯表面形状，我们试图确保场与高斯表面所有表面平行或垂直。

Also, I just want to review that the Gaussian surface we chose has Gaussian  surface area vectors that are either parallel to or perpendicular to the electric field.

另外，我只想回顾一下，我们选择高斯表面具有与场平行或垂直高斯表面积矢量。